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Finding the Fourth Proportional to 78,378.46, 108,162.49 and 46,114.30

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Solution

The fourth proportional to 78,378.46, 108,162.49 and 46,114.30 is: 63,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,378.46 : 108,162.49 = 46,114.30 : x
  2. Step 2: Convert to fraction form
    78,378.46/108,162.49 = 46,114.30/x
  3. Step 3: Cross multiply
    78,378.46x = 108,162.49 × 46,114.30
  4. Step 4: Simplify right side
    78,378.46x = 4,987,836,816.03
  5. Step 5: Solve for x
    x = 4,987,836,816.03/78,378.46
  6. Step 6: Final answer
    x = 63,637.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.